34157200 has 120 divisors (see below), whose sum is σ = 102404160. Its totient is φ = 10636800.

The previous prime is 34157197. The next prime is 34157209. The reversal of 34157200 is 275143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34157209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30246 + ... + 31354.

It is an arithmetic number, because the mean of its divisors is an integer number (853368).

Almost surely, 2^34157200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51202080).

34157200 is an abundant number, since it is smaller than the sum of its proper divisors (68246960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34157200 is a wasteful number, since it uses less digits than its factorization.

34157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 34157200 is about 5844.4161385035. The cubic root of 34157200 is about 324.4596939657.

The spelling of 34157200 in words is "thirty-four million, one hundred fifty-seven thousand, two hundred".